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Finding the Fourth Proportional to 189,045.39, 260,932.95 and 111,589.14

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Solution

The fourth proportional to 189,045.39, 260,932.95 and 111,589.14 is: 154,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,045.39 : 260,932.95 = 111,589.14 : x
  2. Step 2: Convert to fraction form
    189,045.39/260,932.95 = 111,589.14/x
  3. Step 3: Cross multiply
    189,045.39x = 260,932.95 × 111,589.14
  4. Step 4: Simplify right side
    189,045.39x = 29,117,283,488.16
  5. Step 5: Solve for x
    x = 29,117,283,488.16/189,045.39
  6. Step 6: Final answer
    x = 154,022.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.